de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of ln|x^2-4|

Lösung

\frac{d}{d x} (ln x^{2} - 4)

Lösung

\frac{2 x}{x ^{2} - 4}

Schritte zur Lösung

\frac{d}{d x} (ln x^{2} - 4)

Wende die Kettenregel an:

\frac{1}{∣ x ^{2} - 4 ∣} \frac{d}{d x} (x^{2} - 4)

= \frac{1}{∣ x ^{2} - 4 ∣} \frac{d}{d x} (x^{2} - 4)

\frac{d}{d x} (x^{2} - 4) = \frac{2 x ( x ^{2} - 4 )}{∣ x ^{2} - 4 ∣}

= \frac{1}{∣ x ^{2} - 4 ∣} \cdot \frac{2 x ( x ^{2} - 4 )}{∣ x ^{2} - 4 ∣}

Vereinfache

\frac{1}{∣ x ^{2} - 4 ∣} \cdot \frac{2 x ( x ^{2} - 4 )}{∣ x ^{2} - 4 ∣} : \frac{2 x}{x ^{2} - 4}

= \frac{2 x}{x ^{2} - 4}

Graph

Beliebte Beispiele

derivative f(x)=-2x^2-12x-4

d er i v a t i v e f (x) = - 2 x^{2} - 12 x - 4

(tdy)/(dt)=t^3+8t^3y

\frac{t d y}{d t} = t^{3} + 8 t^{3} y

derivative of ((x+3^2)/(e^x*cos(x)))

\frac{d}{d x} (\frac{( x + 3 ) ^{2}}{e ^{x} \cdot cos ( x )})

derivative f(x)= 1/5 (9x+8)^3

d er i v a t i v e f (x) = \frac{1}{5} (9 x + 8)^{3}

derivative of-7ln(x)

\frac{d}{d x} (- 7 ln (x))